{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:DQBSEIYXVSXNR4VH7SYMZKYHVP","short_pith_number":"pith:DQBSEIYX","canonical_record":{"source":{"id":"2211.06754","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-11-12T21:58:48Z","cross_cats_sorted":[],"title_canon_sha256":"1c773614c478d5f6f0ed3e713657de947acb39666308e954172f86cf3ee939cc","abstract_canon_sha256":"021d4f154bd82d6dfbd709e502a8c8124f2c5d4276a0fd4626f0be965171b499"},"schema_version":"1.0"},"canonical_sha256":"1c03222317acaed8f2a7fcb0ccab07abeefcbf8724e52f6471705e3dcd2f46bd","source":{"kind":"arxiv","id":"2211.06754","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.06754","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2211.06754v2","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.06754","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"DQBSEIYXVSXN","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"DQBSEIYXVSXNR4VH","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"DQBSEIYX","created_at":"2026-07-05T07:46:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:DQBSEIYXVSXNR4VH7SYMZKYHVP","target":"record","payload":{"canonical_record":{"source":{"id":"2211.06754","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-11-12T21:58:48Z","cross_cats_sorted":[],"title_canon_sha256":"1c773614c478d5f6f0ed3e713657de947acb39666308e954172f86cf3ee939cc","abstract_canon_sha256":"021d4f154bd82d6dfbd709e502a8c8124f2c5d4276a0fd4626f0be965171b499"},"schema_version":"1.0"},"canonical_sha256":"1c03222317acaed8f2a7fcb0ccab07abeefcbf8724e52f6471705e3dcd2f46bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:46:59.692976Z","signature_b64":"ph0IAOjW6eyXffLmZ/2YoxZ0WFJ39ymp7Wy1WIzBOe32wSjHtPw9UmoQTw+J8CxAizyUAoV5+6f/xUAjeho1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c03222317acaed8f2a7fcb0ccab07abeefcbf8724e52f6471705e3dcd2f46bd","last_reissued_at":"2026-07-05T07:46:59.692603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:46:59.692603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.06754","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"roHoTLm7aoqfJt6UEvxTjBi0b+4lqYCENMvhoRKTGIVbUsG7IgPEBYgZErn8ScdAzheWw7AB731pJHYcozdnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T05:43:37.531958Z"},"content_sha256":"6ae5d02ab6efafd107be3189fc973a2e76f1334e1d41d66f9ca1af69e95798ed","schema_version":"1.0","event_id":"sha256:6ae5d02ab6efafd107be3189fc973a2e76f1334e1d41d66f9ca1af69e95798ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:DQBSEIYXVSXNR4VH7SYMZKYHVP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of the logarithmic Hodge moduli space (with an Appendix joint with Siqing Zhang)","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andres Fernandez Herrero, Mark Andrea A. de Cataldo","submitted_at":"2022-11-12T21:58:48Z","abstract_excerpt":"We show the smoothness over the affine line of the Hodge moduli space of logarithmic t-connections of coprime rank and degree on a smooth projective curve with geometrically integral fibers over an arbitrary Noetherian base. When the base is a field, we also prove that the Hodge moduli space is geometrically integral. Along the way, we prove the same results for the corresponding moduli spaces of logarithmic Higgs bundles and of logarithmic connections.\n  We use smoothness to derive specialization isomorphisms on the etale cohomology rings of these moduli spaces; this includes the special case"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.06754","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.06754/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3L0YZyoFULKuhCoNR9Zk7BQkB3Z/8szvs8o/X3bI2DVM21W5k4Ku/tTzk4aUc8JQ19HIFRgCYT48DAThVsx5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T05:43:37.532565Z"},"content_sha256":"1eecd5208e8ccefbe59b295db398612645e00719d14a50c490137424653f5180","schema_version":"1.0","event_id":"sha256:1eecd5208e8ccefbe59b295db398612645e00719d14a50c490137424653f5180"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DQBSEIYXVSXNR4VH7SYMZKYHVP/bundle.json","state_url":"https://pith.science/pith/DQBSEIYXVSXNR4VH7SYMZKYHVP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DQBSEIYXVSXNR4VH7SYMZKYHVP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-21T05:43:37Z","links":{"resolver":"https://pith.science/pith/DQBSEIYXVSXNR4VH7SYMZKYHVP","bundle":"https://pith.science/pith/DQBSEIYXVSXNR4VH7SYMZKYHVP/bundle.json","state":"https://pith.science/pith/DQBSEIYXVSXNR4VH7SYMZKYHVP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DQBSEIYXVSXNR4VH7SYMZKYHVP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DQBSEIYXVSXNR4VH7SYMZKYHVP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"021d4f154bd82d6dfbd709e502a8c8124f2c5d4276a0fd4626f0be965171b499","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-11-12T21:58:48Z","title_canon_sha256":"1c773614c478d5f6f0ed3e713657de947acb39666308e954172f86cf3ee939cc"},"schema_version":"1.0","source":{"id":"2211.06754","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.06754","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2211.06754v2","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.06754","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"DQBSEIYXVSXN","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"DQBSEIYXVSXNR4VH","created_at":"2026-07-05T07:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"DQBSEIYX","created_at":"2026-07-05T07:46:59Z"}],"graph_snapshots":[{"event_id":"sha256:1eecd5208e8ccefbe59b295db398612645e00719d14a50c490137424653f5180","target":"graph","created_at":"2026-07-05T07:46:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2211.06754/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show the smoothness over the affine line of the Hodge moduli space of logarithmic t-connections of coprime rank and degree on a smooth projective curve with geometrically integral fibers over an arbitrary Noetherian base. When the base is a field, we also prove that the Hodge moduli space is geometrically integral. Along the way, we prove the same results for the corresponding moduli spaces of logarithmic Higgs bundles and of logarithmic connections.\n  We use smoothness to derive specialization isomorphisms on the etale cohomology rings of these moduli spaces; this includes the special case","authors_text":"Andres Fernandez Herrero, Mark Andrea A. de Cataldo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-11-12T21:58:48Z","title":"Geometry of the logarithmic Hodge moduli space (with an Appendix joint with Siqing Zhang)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.06754","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6ae5d02ab6efafd107be3189fc973a2e76f1334e1d41d66f9ca1af69e95798ed","target":"record","created_at":"2026-07-05T07:46:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"021d4f154bd82d6dfbd709e502a8c8124f2c5d4276a0fd4626f0be965171b499","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-11-12T21:58:48Z","title_canon_sha256":"1c773614c478d5f6f0ed3e713657de947acb39666308e954172f86cf3ee939cc"},"schema_version":"1.0","source":{"id":"2211.06754","kind":"arxiv","version":2}},"canonical_sha256":"1c03222317acaed8f2a7fcb0ccab07abeefcbf8724e52f6471705e3dcd2f46bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c03222317acaed8f2a7fcb0ccab07abeefcbf8724e52f6471705e3dcd2f46bd","first_computed_at":"2026-07-05T07:46:59.692603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:46:59.692603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ph0IAOjW6eyXffLmZ/2YoxZ0WFJ39ymp7Wy1WIzBOe32wSjHtPw9UmoQTw+J8CxAizyUAoV5+6f/xUAjeho1Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:46:59.692976Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.06754","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ae5d02ab6efafd107be3189fc973a2e76f1334e1d41d66f9ca1af69e95798ed","sha256:1eecd5208e8ccefbe59b295db398612645e00719d14a50c490137424653f5180"],"state_sha256":"8ef970fbf87ee7c9b7146eb9a9058ca34273d44ca40595d7161e79dd2c5c7a2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZRaYWKnDm1PK7xPOAw7QHcnaBP2l6Ovp1SjkxDU5ogrwZw8TZuY23Uo6mctXjaNYKzc/dhihozlNlWuMpiaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T05:43:37.538055Z","bundle_sha256":"69d5ba16c8b7b84fb8ed931cd610cb5ab659a99f7d06ea02419fb690c825f89c"}}